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Finding the Fourth Proportional to 4,714.68, 7,074.68 and 4,342.89

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Solution

The fourth proportional to 4,714.68, 7,074.68 and 4,342.89 is: 6,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.68 : 7,074.68 = 4,342.89 : x
  2. Step 2: Convert to fraction form
    4,714.68/7,074.68 = 4,342.89/x
  3. Step 3: Cross multiply
    4,714.68x = 7,074.68 × 4,342.89
  4. Step 4: Simplify right side
    4,714.68x = 30,724,535.31
  5. Step 5: Solve for x
    x = 30,724,535.31/4,714.68
  6. Step 6: Final answer
    x = 6,516.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.